{"id":1357,"date":"2021-01-15T23:24:56","date_gmt":"2021-01-15T21:24:56","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=1357"},"modified":"2021-03-04T15:12:16","modified_gmt":"2021-03-04T13:12:16","slug":"%d0%b4%d0%be%d1%81%d0%bb%d1%96%d0%b4%d0%b6%d0%b5%d0%bd%d0%bd%d1%8f-%d0%b5%d0%bd%d0%b5%d1%80%d0%b3%d0%b5%d1%82%d0%b8%d1%87%d0%bd%d0%be%d1%97-%d0%b5%d1%84%d0%b5%d0%ba%d1%82%d0%b8%d0%b2%d0%bd%d0%be%d1%81","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=1357","title":{"rendered":"\u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u043e\u0457 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0456 \u043a\u0430\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u043e\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445 \u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430 \u043a\u043e\u0434\u0430\u043c\u0438 LDPC \u0434\u043b\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0437\u0432\u2019\u044f\u0437\u043a\u0443 5G"},"content":{"rendered":"

\u0414\u041e\u0421\u041b\u0406\u0414\u0416\u0415\u041d\u041d\u042f \u0415\u041d\u0415\u0420\u0413\u0415\u0422\u0418\u0427\u041d\u041e\u0407 \u0415\u0424\u0415\u041a\u0422\u0418\u0412\u041d\u041e\u0421\u0422\u0406 \u041a\u0410\u041d\u0410\u041b\u042c\u041d\u041e\u0413\u041e \u041a\u041e\u0414\u0423\u0412\u0410\u041d\u041d\u042f \u0414\u0410\u041d\u0418\u0425 \u041a\u041e\u0420\u0418\u0421\u0422\u0423\u0412\u0410\u0427\u0410 \u041a\u041e\u0414\u0410\u041c\u0418 LDPC \u0414\u041b\u042f \u0421\u0418\u0421\u0422\u0415\u041c \u0417\u0412\u2019\u042f\u0417\u041a\u0423 5G<\/p>\n

INVESTIGATION OF ENERGY EFFICIENCY OF CHANNEL CODING OF USER DATA BY LDPC CODES FOR 5G COMMUNICATION SYSTEMS<\/p>\n

<\/a> \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 174-185. \u041d\u043e\u043c\u0435\u0440: \u21163, 2020 (285)<\/strong>
\n\u0410\u0432\u0442\u043e\u0440\u0438:<\/strong>
\n\u0406. \u0421. \u041f\u044f\u0442\u0456\u043d, \u042e. \u041c. \u0411\u043e\u0439\u043a\u043e
\n\u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442
\n\u0406. Pyatin, J. BOIKO
\nKhmelnytskyi National University
\nDOI:<\/strong> https:\/\/www.doi.org\/10.31891\/2307-5732-2020-285-3-10<\/a>
\n\u0420\u0435\u0446\u0435\u043d\u0437\u0456\u044f\/Peer review :<\/strong> 11.05.2020 \u0440.
\n\u041d\u0430\u0434\u0440\u0443\u043a\u043e\u0432\u0430\u043d\u0430\/Printed :<\/strong> 02.06.2020 \u0440.<\/p>\n

\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n

\u0412 \u0440\u043e\u0431\u043e\u0442\u0456 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0438 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u043e\u0457 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0441\u0442\u0456 \u043a\u0430\u043d\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u043e\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445 \u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430 \u043a\u043e\u0434\u0430\u043c\u0438 LDPC \u0434\u043b\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0437\u0432\u2019\u044f\u0437\u043a\u0443 5G. \u0420\u043e\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u0456 \u043f\u0440\u0438\u043d\u0446\u0438\u043f\u0438 \u0443\u0437\u0433\u043e\u0434\u0436\u0435\u043d\u043d\u044f \u0448\u0432\u0438\u0434\u043a\u043e\u0441\u0442\u0456 \u0456 \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f \u0433\u0456\u0431\u0440\u0438\u0434\u043d\u043e\u0433\u043e \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0437\u0430\u043f\u0438\u0442\u0443 \u043d\u0430 \u043f\u043e\u0432\u0442\u043e\u0440\u0435\u043d\u043d\u044f (HARQ). \u041f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u0439 \u0430\u043d\u0430\u043b\u0456\u0437 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u043e\u0457 \u0441\u0445\u0435\u043c\u0438 \u0456 \u043c\u043e\u0434\u0435\u043b\u0456 \u043a\u0430\u043d\u0430\u043b\u0443 \u0437\u0432\u2019\u044f\u0437\u043a\u0443 \u0437 \u043a\u043e\u0434\u0430\u043c\u0438 LDPC. \u0414\u0430\u043d\u043e \u043e\u0441\u043d\u043e\u0432\u0438 \u043a\u043e\u0434\u0456\u0432 LDPC, \u0449\u043e \u0437\u0430\u0441\u043d\u043e\u0432\u0430\u043d\u0456 \u043d\u0430 \u043f\u0440\u043e\u0442\u043e\u0433\u0440\u0430\u0444\u0430\u0445, \u043f\u043e\u043d\u044f\u0442\u0442\u044f \u0440\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u043d\u044f \u043f\u0440\u043e\u0442\u043e\u0433\u0440\u0430\u0444\u0430 \u0456 \u043f\u043e\u0431\u0443\u0434\u043e\u0432\u0438 \u0433\u0440\u0430\u0444\u0430 \u0422\u0430\u043d\u043d\u0435\u0440\u0430. \u0420\u043e\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u0456 \u043a\u0432\u0430\u0437\u0456\u0446\u0438\u043a\u043b\u0456\u0447\u043d\u0456 \u043a\u043e\u0434\u0438 QC-LDPC \u0442\u0430 \u0431\u0430\u0437\u043e\u0432\u0438\u0439 \u0433\u0440\u0430\u0444 \u043a\u043e\u0434\u0443. \u0420\u043e\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u0438\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c LDPC-\u043a\u043e\u0434\u0443\u0432\u0430\u043d\u043d\u044f \u0437 \u0433\u0430\u0443\u0441\u0456\u0432\u0441\u044c\u043a\u0438\u043c \u0432\u0438\u043a\u043b\u044e\u0447\u0435\u043d\u043d\u044f\u043c. \u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u0430 \u0437\u0430\u043b\u0435\u0436\u043d\u0456\u0441\u0442\u044c \u043a\u043e\u0435\u0444\u0456\u0446\u0456\u0454\u043d\u0442\u0443 \u0431\u0456\u0442\u043e\u0432\u043e\u0457 \u043f\u043e\u043c\u0438\u043b\u043a\u0438 \u0432\u0456\u0434 \u0432\u0438\u0434\u0443 \u0434\u0435\u043a\u043e\u0434\u0435\u0440\u0430. \u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u0430 \u0437\u0430\u043b\u0435\u0436\u043d\u0456\u0441\u0442\u044c \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u0431\u0456\u0442\u043e\u0432\u0438\u0445 \u043f\u043e\u043c\u0438\u043b\u043e\u043a \u0432\u0456\u0434 \u0432\u0456\u0434\u043d\u043e\u0448\u0435\u043d\u043d\u044f \u0441\u0438\u0433\u043d\u0430\u043b-\u0448\u0443\u043c \u0434\u043b\u044f \u043a\u043e\u0434\u0443 LDPC \u0437 \u0440\u0456\u0437\u043d\u0438\u043c\u0438 \u0432\u0438\u0434\u0430\u043c\u0438 \u043c\u043e\u0434\u0443\u043b\u044f\u0446\u0456\u0457, \u0440\u0456\u0437\u043d\u0438\u043c\u0438 \u0432\u0435\u0440\u0441\u0456\u044f\u043c\u0438 \u043d\u0430\u0434\u043b\u0438\u0448\u043a\u043e\u0432\u043e\u0441\u0442\u0456 (RV), \u0440\u0456\u0437\u043d\u0438\u043c\u0438 \u0448\u0432\u0438\u0434\u043a\u043e\u0441\u0442\u044f\u043c\u0438 \u043a\u043e\u0434\u0443\u0432\u0430\u043d\u043d\u044f
\n\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043a\u043e\u0434\u0438 LDPC, \u043a\u043e\u0434\u0438 QC-LDPC, \u0435\u043d\u0435\u0440\u0433\u0435\u0442\u0438\u0447\u043d\u0430 \u0435\u0444\u0435\u043a\u0442\u0438\u0432\u043d\u0456\u0441\u0442\u044c, \u0437\u0432\u2019\u044f\u0437\u043e\u043a \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0443 5G, \u0442\u0440\u0430\u043d\u0441\u043f\u043e\u0440\u0442\u043d\u0438\u0439 \u043a\u0430\u043d\u0430\u043b.<\/p>\n

\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n

LDPC codes are widely used in practice: they are used by DVB-T2, DVB-S2, DVB-C2, WiFi, WiMax, IEEE 802.15.3. It also provides for the transmission of user data of the transport channel using LDPC codes in 5G communication systems. The paper presents the results of the study of energy efficiency of channel coding of user data by LDPC codes for 5G communication systems. The principles of speed negotiation and execution of a hybrid automatic retry request (HARQ) are considered. The analysis of the structural scheme and model of the communication channel with LDPC codes is carried out. The basics of LDPC codes based on protographs, the concept of protograph extension and construction of the Tanner graph are given. The protograph (base graph) is a bipartite non-oriented multigraph consisting of a set of symbolic and test vertices. In order to obtain a Tanner graph, it is necessary to perform the extension procedure, which consists in the sequential execution of algorithms for copying and rearranging vertices. The quasicyclic QC-LDPC codes and the basic code graph are considered. QC-LDPC codes play an important role in 5G communication and have been adopted as a channel coding scheme for the 5M eMBB data channel. The binary code QC-LDPC can be characterized by the space of the array of rarefied circulators. the parity control matrix H of the QC-LDPC code can be determined by its base graph and shear coefficients. 5G uses two base graphs BG1 and BG2. BG1 is designed for longer block lengths and high speeds, while BG2 is designed for shorter block lengths and low speeds. The LDPC-coding algorithm with Gaussian exclusion is considered. The dependence of the bit error rate on the type of decoder is investigated. Decoders considered: belief dissemination; multilevel algorithm for spreading beliefs; Normalized algorithm for decoding the minimum amount; Algorithm for decoding the minimum amount with an offset. The dependence of the number of bit errors on the signal-to-noise ratio for the LDPC code with different types of modulation, different versions of redundancy (RV), different coding speeds, different length of the transport block is investigated.
\nKeywords:<\/strong> LDPC codes, QC-LDPC codes, energy efficiency, 5G communication, transport channel.<\/p>\n

Referencse<\/strong><\/p>\n

    \n
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  7. Bojko Ju. M. Teoretichn\u0456 aspekti p\u0456dvishhennja zavadost\u0456jkost\u0456 j efektivnost\u0456 obrobki signal\u0456v v rad\u0456otehn\u0456chnih pristrojah ta zasobah telekomun\u0456kac\u0456jnih sistem za najavnost\u0456 zavad: monograf\u0456ja \/ Ju. M. Bojko, V. A. Druzhin\u0456n, S. V. Toljupa. – Ki\u0457v : Logos, 2018. – 227 s.<\/li>\n
  8. Bojko Ju. M. Dosl\u0456dzhennja efektivnost\u0456 algoritm\u0456v kanal’nogo koduvannja v zahishhenih telekomun\u0456kac\u0456jnih sistemah peredavannja \u0456nformac\u0456\u0457 \/ Ju. M. Bojko, D. A. Makarishk\u0456n, O. \u0406. Pas\u0456chnik \/\/ Zv\u2019jazok: zagal’nogaluz. nauk.-virob. zhurn. \u2013 Ki\u0457v, 2016. \u2013 \u2116 5. \u2013 S. 56-67.<\/li>\n
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  13. J. Boiko, I. Pyatin and O. Eromenko, “Farrow Interpolator Features in QPSK Telecommunication Devices.” 2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET). IEEE, 2020. DOI: 10.1109\/TCSET49122.2020.235410.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    \u0414\u041e\u0421\u041b\u0406\u0414\u0416\u0415\u041d\u041d\u042f \u0415\u041d\u0415\u0420\u0413\u0415\u0422\u0418\u0427\u041d\u041e\u0407 \u0415\u0424\u0415\u041a\u0422\u0418\u0412\u041d\u041e\u0421\u0422\u0406 \u041a\u0410\u041d\u0410\u041b\u042c\u041d\u041e\u0413\u041e \u041a\u041e\u0414\u0423\u0412\u0410\u041d\u041d\u042f \u0414\u0410\u041d\u0418\u0425 \u041a\u041e\u0420\u0418\u0421\u0422\u0423\u0412\u0410\u0427\u0410 \u041a\u041e\u0414\u0410\u041c\u0418 LDPC \u0414\u041b\u042f \u0421\u0418\u0421\u0422\u0415\u041c \u0417\u0412\u2019\u042f\u0417\u041a\u0423 5G INVESTIGATION OF ENERGY EFFICIENCY OF CHANNEL CODING OF USER DATA BY LDPC CODES FOR 5G COMMUNICATION SYSTEMS \u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 174-185. \u041d\u043e\u043c\u0435\u0440: \u21163, 2020 (285) \u0410\u0432\u0442\u043e\u0440\u0438: \u0406. \u0421. \u041f\u044f\u0442\u0456\u043d, \u042e. \u041c. \u0411\u043e\u0439\u043a\u043e \u0425\u043c\u0435\u043b\u044c\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442 \u0406. Pyatin, J. BOIKO Khmelnytskyi National University DOI: https:\/\/www.doi.org\/10.31891\/2307-5732-2020-285-3-10 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[16],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1357"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1357"}],"version-history":[{"count":4,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1357\/revisions"}],"predecessor-version":[{"id":4179,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/1357\/revisions\/4179"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1357"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1357"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1357"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}